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Given that y is directly proportional to square root of x and that y = 20 when x = 49 find an expression to represent x and y.

y = k √x20 = k √49 20/7 = ktherefore y = 20/7 √x

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Two ordinary fair dice are rolled. Work out the probability that both land on a value less than 4.

The probability of an event= Number of ways an event can occur/ Total number of possible outcomesBoth dices land on values less than 4. This means they both can be 1,2 or 3. Therefore, number of ways the ...

Answered by George S. • Maths tutor

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If x:y=7:4 and x + y = 88, work out the value of x – y.

Total of parts: 7+4=11therefore if we divide 88 in 11 “parts” we get each part as 8.hence if x corresponds to 7 parts then x=8X7=56 and if y corresponds to 4 “parts” y=4X8=32THEREFORE: x-y=56-32=24

Answered by Georgina H. • Maths tutor

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Find the points where f(x)=x^2-5x-14 meets the x-axis and find the turning point

Set x^2-5x-14=0. So (x-7)(x+2)=0So function meets x-axis at (-2,0) and (7,0).
To find turning point, differentiate function and set equal to 0.2x-5=0. So x=5/2. Substitute x=5/2 into f(x) to give y c...

Answered by Daanesh B. • Maths tutor

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If a curve has equation y=(4/3)x^3-2x^2-24x+16, find dy/dx and find the coordinates of the turning points.

y=(4/3)x³-2x²-24x+16Step 1: Understand the questiondy/dx means differentiate the function of y with respect to xturning points are where the gradient of the function changes and will...

Answered by Johann P. • Maths tutor

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